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Finding the Fourth Proportional to 47,308.80, 70,966.44 and 12,252

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Solution

The fourth proportional to 47,308.80, 70,966.44 and 12,252 is: 18,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,308.80 : 70,966.44 = 12,252 : x
  2. Step 2: Convert to fraction form
    47,308.80/70,966.44 = 12,252/x
  3. Step 3: Cross multiply
    47,308.80x = 70,966.44 × 12,252
  4. Step 4: Simplify right side
    47,308.80x = 869,480,822.88
  5. Step 5: Solve for x
    x = 869,480,822.88/47,308.80
  6. Step 6: Final answer
    x = 18,378.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.